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On construction of symmetries from integrals of hyperbolic partial differential systems

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Abstract

An algorithm is proposed which allows one to construct higher symmetries of arbitrary order for some special classes of hyperbolic systems possessing integrals. The Pohlmeyer-Lund-Regge system and the open two-dimensional Toda lattices are shown to belong to the class of systems where our algorithm is applicable.

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Authors and Affiliations

  1. Orel State University, Russia

    D. K. Demskoi

  2. Mathematical Institute of Ufa Science Center of RAS, Russia

    S. Ya. Startsev

Authors
  1. D. K. Demskoi
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  2. S. Ya. Startsev
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Translated from Fundamental’naya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 10, No. 1, Geometry of Integrable Models, 2004.

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Demskoi, D.K., Startsev, S.Y. On construction of symmetries from integrals of hyperbolic partial differential systems. J Math Sci 136, 4378–4384 (2006). https://doi.org/10.1007/s10958-006-0230-7

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  • DOI: https://doi.org/10.1007/s10958-006-0230-7

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